Vol. 10, No. 1, 2009

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Codistances in buildings

Bernhard M. Mühlherr and Hendrik J. van Maldeghem

Vol. 10 (2009), No. 1, 81–91
Abstract

A codistance in a building is a twinning of this building with one chamber. We study this local situation and prove that affine Bruhat-Tits buildings defined over p-adic numbers do not admit a codistance.

Keywords
twin building, p-adic building, affine building
Mathematical Subject Classification 2000
Primary: 51E24
Milestones
Received: 22 December 2007
Accepted: 8 June 2009
Authors
Bernhard M. Mühlherr
Mathematisches Institut
Universität Giessen
Arndtstrasse 2
35392 Giessen
Germany
Hendrik J. van Maldeghem
Vakgroep Zuivere Wiskunde en Computeralgebra
University of Ghent
9000 Gent
Belgium